Question

A construction worker drops a 2.20 kg hammer from a roof. At a distance of 4.50 m above the ground, the hammer's total mechanical energy is 188 J. Calculate the kinetic energy of the hammer at this height.

Answer 1

Kinetic energy = 90.98 J

Step-by-step explanation:

Given that,

The mass of a hammer, m = 2.2 kg

At a distance of 4.50 m above the ground, the hammer's total mechanical energy is 188 J.

We need to find the kinetic energy of the hammer at this height.

We know that,

Mechanical energy = kinetic energy + potential energy

`188=K_E+mgh\\\\K_E=188-mgh\\\\K_E=188-2.2* 9.8* 4.5\\\\K_E=90.98\ J`

So, the kinetic energy of the hammer at this height is equal to 90.98 J.